{
  "id": "2012.13149",
  "version": "v1",
  "published": "2020-12-24T07:33:28.000Z",
  "updated": "2020-12-24T07:33:28.000Z",
  "title": "Mixed graphs with smallest eigenvalue greater than $-\\frac{\\sqrt{5}+1}{2}$",
  "authors": [
    "Lu Lu",
    "ZhenZhen Lou"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper, we completely characterize the mixed graphs with smallest Hermitian eigenvalue greater than $-\\frac{\\sqrt{5}+1}{2}$. By the way, we get a new class of mixed graphs switching equivalent to their underlying graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-24T07:33:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50"
    ],
    "keywords": [
      "smallest eigenvalue greater",
      "smallest hermitian eigenvalue greater",
      "mixed graphs switching equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}